Hall and ion‐slip effects on MHD mixed convection flow in a vertical microchannel with asymmetric wall heating

Abstract

AbstractIn this article, a theoretical analysis is carried out on hydromagnetic mixed convection flow of viscous incompressible and electrically conducting fluid in a vertical microchannel in the existence of Hall current and ion‐slip effects. The walls of the microchannels are preheated and the flow is prompted by the combination of buoyancy forces and pressure gradient. The governing dimensional equations are obtained and reduced to dimensionless form using suitable transformations. The flow equations are solved analytically, and their solutions are obtained in dimensionless form. Some interesting effects of the relevant flow parameters on the flow formation and volume flow rates, in both primary and secondary flow directions, are showed. The results show that, in the presence of Hall current and pressure gradient, the ion‐slip current supports flow formation along the primary flow direction, while destabilizing it along the secondary direction. In addition, it is also highlighted that, in the presence of pressure gradient and buoyancy forces, the ion‐slip current increases the volume flow rate in both primary and secondary flow directions, whereas the Hall current destabilizes the volume flow rate along the primary direction.